Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_3:Q_{16}\)
Signature \([ 0; 4, 8, 12 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_3:Q_{16}$
Group identifier: [48,18]
Signature: $[ 0; 4, 8, 12 ]$
Conjugacy classes for this refined passport: 6, 8, 11

Jacobian variety group algebra decomposition:$E^{2}\times A_{4}\times A_{4}^{2}$
Corresponding character(s): 8, 10, 12

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.48-18.0.4-8-12.1.1

  (1,25,4,28) (2,27,5,30) (3,26,6,29) (7,34,10,31) (8,36,11,33) (9,35,12,32) (13,43,16,46) (14,45,17,48) (15,44,18,47) (19,37,22,40) (20,39,23,42) (21,38,24,41)
  (1,39,10,48,4,42,7,45) (2,38,11,47,5,41,8,44) (3,37,12,46,6,40,9,43) (13,33,22,27,16,36,19,30) (14,32,23,26,17,35,20,29) (15,31,24,25,18,34,21,28)
  (1,14,6,16,2,15,4,17,3,13,5,18) (7,23,12,19,8,24,10,20,9,22,11,21) (25,38,30,40,26,39,28,41,27,37,29,42) (31,47,36,43,32,48,34,44,33,46,35,45)